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 3.016 Mathematics for Materials Scientists and Engineers, Fall 2003
 Parabolic approximation to a surface and local eigenframe. The surface on the left is a second-­order approximation of a surface at the point where the coordinate axes are drawn. The surface has a local normal at that point which is related to the cross product of the two tangents of the coordinate curves that cross at the that point. The three direction define a coordinate system. The coordinate system can be translated so that the origin lies at the point where the surface is expanded and rotated so that the normal n coincides with the z-axis as in the right hand curve. (Image by W. Craig Carter.)

This course includes Mathematica® lecture note suppliments as well as problem sets with solutions.

The class will cover mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from 3.012 to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, fourier analysis and random walks.

## Mathematica® software is required to run the .nb files found on this course site.

 師資 講師： Prof. W. Craig Carter 上課時數 教師授課： 每週3節 每節1小時 程度 大學部 回應 告訴我們您對本課程或「開放式課程網頁」的建議。 聲明 麻省理工學院開放式課程認可 開放式課程計畫（OOPS）的翻譯計畫，開放式課程計畫（OOPS）乃是運用其獨立團隊、獨立資源、獨立流程進行翻譯計畫之團隊。所有麻省理工學院開放式課程之材料皆以麻省理工學院開放式課程創作共享授權發佈，所有之翻譯資料皆由開放式課程計畫（OOPS）所提供，並由其負翻譯品質之責任。此處麻省理工學院開放式課程之資料乃由 開放式課程計畫（OOPS） 譯為正體中文。麻省理工學院開放式課程在此聲明，不論是否遭遇或發現相關議題，麻省理工學院開放式課程、麻省理工學院教師、麻省理工學院校方並不對翻譯正確度及完整性作保證。上述單位並對翻譯後之資料不作明示或默許對任一特定目的之適合性之保證、非侵權之保證、或永不出錯之保證。麻省理工學院校方、麻省理工學院開放式課程對翻譯上之不正確不負任何責任。由翻譯所引發任何關於此等資料之不正確或其他瑕疵，皆由開放式課程計畫（OOPS）負全責，而非麻省理工學院開放式課程之責。原文聲明